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Finding the Third Proportional to 106,843.50 and 158,618.25

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Solution

The third proportional to 106,843.50 and 158,618.25 is: 235,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.50 : 158,618.25 = 158,618.25 : x
  2. Step 2: Convert to fraction form
    106,843.50/158,618.25 = 158,618.25/x
  3. Step 3: Cross multiply
    106,843.50x = 158,618.25 × 158,618.25
  4. Step 4: Simplify right side
    106,843.50x = 25,159,749,233.06
  5. Step 5: Solve for x
    x = 25,159,749,233.06/106,843.50
  6. Step 6: Final answer
    x = 235,482.26

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.